Pair of Linear Equations in Two Variables
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10
Question:
[Section A]
If the pair of linear equations $3x + y = 3$ and $6x + ky = 8$ has no solution, then the value of $k$ is:
(a) 1
(b) 3
(c) 6
(d) 2
Step-by-Step Solution
Key Concept: For no solution, $\dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} <br>eq \dfrac{c_1}{c_2}$.
$\dfrac{3}{6} = \dfrac{1}{k}
eq \dfrac{3}{8} \Rightarrow \dfrac{1}{2} = \dfrac{1}{k} \Rightarrow k = 2$. [1.0 Mark]
Correct Answer: (d) 2
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.